State the domain of f•g. Then find f•g, including any additional restrictions necessary on the domain of the composition

Answer: 24

Step-by-step explanation: yeah

Answer:

- \(\frac{15}{4}\)

Step-by-step explanation:

Given

3x - 8y = 39 ← substitute x = 3 into the equation

3(3) - 8y = 39

9 - 8y = 39 ( subtract 9 from both sides )

- 8y = 30 ( divide both sides by - 8 )

y = \(\frac{30}{-8}\) = - \(\frac{15}{4}\)

For a given polygon, the consecutive vertices can be grouped into sets, such as A, B, and C; D, E, and F; and G, H, and I. Similarly, the consecutive sides can be grouped into sets, like AB, BC, and CA; DE, EF, and FD; and GH, HI, and IG. Opposite sides can be identified as AB and CD, and EF and GH.

Part A: Three sets of consecutive vertices are:

1. Set 1: Vertices A, B, and C

2. Set 2: Vertices D, E, and F

3. Set 3: Vertices G, H, and I

Part B: Three sets of consecutive sides are:

1. Set 1: Sides AB, BC, and CA

2. Set 2: Sides DE, EF, and FD

3. Set 3: Sides GH, HI, and IG

Part C: Two sets of opposite sides are:

1. Set 1: Sides AB and CD

2. Set 2: Sides EF and GH

Part D: Three sets of adjacent angles are:

1. Set 1: Angles ABC, BCA, and CAB

2. Set 2: Angles DEF, EFD, and FDE

3. Set 3: Angles GHI, HIG, and IGH

Part E: Two sets of opposite angles are:

1. Set 1: Angles ABC and CBA

2. Set 2: Angles DEF and FED

Part F: Two diagonals:

1. Diagonal 1: Connects vertices A and C.

2. Diagonal 2: Connects vertices B and D.

Adjacent angles include ABC, BCA, and CAB; DEF, EFD, and FDE; and GHI, HIG, and IGH. Opposite angles can be identified as ABC and CBA, and DEF and FED. Finally, the two diagonals connect vertices A and C, and B and D.

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Answer: D

Step-by-step explanation:

i did the test

The marginal column total for the given data is option D: 39; 16.

What is marginal total?

A set of marginal totals is produced when the cell frequencies of a (multidimensional) contingency table are added over one or more of the classifying variables. The row and column totals are the marginal totals for a two-dimensional table.

The sum of the row entries or the sum of the column entries are called the marginal totals. Marginal distributions are computed by dividing the row or column totals by the overall total.

The number of men who prefer to eat fish = 11

The number of women who prefer to eat fish = 6

The number of men who prefer to eat red meat = 28

The number of women who prefer to eat red meat = 10

So, the marginal column total for the number of men who prefer to eat fish and red meat collectively is -

11 + 28 = 39

The marginal column total for the number of women who prefer to eat fish and red meat collectively is -

6 + 10 = 16

Therefore, the marginal total is 39, 16.

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Slope of the new line parallel to the line whose equation is 8x − 6y = −24 will be  4/3

What is slope in straight line?

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.

y-y1=m(x-x1)

Given line,

8x − 6y = −24

6y = 8x +24

y = (8/6)x + 24/6

y = 4/3x + 4

slope, m=4/3

Since, the new line that passes is parallel to the line 8x − 6y = −24, the slope of the new line will be the same.

Therefore, Slope of the new line parallel to the line whose equation is 8x − 6y = −24 will be  4/3

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Answer:

60%

Step-by-step explanation:

100 ÷ 5 = 20

20 × 3 = 60

60 = 60%

I hope this helps

Answer:

Step-by-step explanation:

that's my answer :) hahshs

Answer:

4/9

Step-by-step explanation:

8/18 x 7/17 x 6/16 = 336/4896 = 0.06863 = 6.863% = 6.9\%

≈0.06863=6.863%≈6.9%

Answer:

A sphere

Step-by-step explanation:

Volume: 523.5988inch^3

Radius: 5

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

0.048

Step-by-step explanation:

I've used a calculator, then rounded it for you.

Let me know if you need any more help. :)

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

Answer:

35 hrs

Step-by-step explanation:

divide $306.25 by $8.75 to get 35 hrs.

Answer:

6%- 457 Million

Step-by-step explanation:

w=241(1.06)^11=457 million

Answer:

\(\sqrt{89}\)

Step-by-step explanation:

You want to use the distance formula which is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

So if you just plug in the numbers correctly and solve correctly then you should get \(\sqrt{89}\)

The calculated value of the tenth term, b₁₀ of the sequence is 78732

From the question, we have the following parameters that can be used in our computation:

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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The area of the circle can be calculated using the formula A = πr^2, where A represents the area and r represents the radius of the circle. In this case, the radius of the circle is given as 14 cm.

To find the area, we substitute the value of the radius into the formula:

A = π(14 cm)^2

Simplifying further:

A = π(196 cm^2)

The area of the circle is 196π cm^2. Since the radius was given in centimeters, the area will also be in square centimeters.

The expression "196π cm^2" represents the area of the circle in terms of π and the units are square centimeters. The value of π, known as pi, is an irrational number approximately equal to 3.14159. Therefore, the area cannot be expressed as a simple numerical value but is represented in terms of π, which is the ratio of the circumference of a circle to its diameter.

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Answer: n = 0 and -2

Step-by-step explanation:

Equate the expressions to zero

n(n+2) = 0

n = 0 and n+2 = 0

n = 0 and n = -2

The Matlab & Simulink model consists of a Clock block to generate a time signal, a Gain block to multiply the time signal by 2, and a Differential Equation block to solve the given differential equation. The Scope block is used to visualize the behavior of the variable x over time.

To construct a Matlab & Simulink model for the given mathematical model, we can use Simulink's Differential Equation block and a Clock and Gain block. Here's a step-by-step guide:

1. Open Simulink in Matlab.

2. Drag and drop a Clock block from the Simulink Library Browser into the model.

3. Drag and drop a Gain block from the Simulink Library Browser into the model.

4. Double-click on the Gain block and set the Gain value to 2.

5. Drag and drop a Differential Equation block from the Simulink Library Browser into the model.

6. Double-click on the Differential Equation block and enter the equation `d²x + 3 + 4*x + 6 = 5*cos(2*t)`.

7. Connect the output of the Clock block to the input of the Gain block, and the output of the Gain block to the input of the Differential Equation block.

8. Connect the output of the Differential Equation block to a Scope block from the Simulink Library Browser.

9. Run the simulation.

The Scope block will show the behavior of the value of x over time according to the given mathematical model.

In conclusion, The Clock block provides the independent variable t, and the Differential Equation block evaluates the given equation to compute the value of x. The simulation shows the dynamic response of x as influenced by the equation and the time signal.

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Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

\(A=\dfrac{1}{2}\times Base\times height\)

So, the area of Each right triangular tile is:

\(A=\dfrac{1}{2}\times 5.2\times 6\)

\(A=\dfrac{1}{2}\times 31.2\)

\(A=15.6\)

There are 150 tiles in the mosaic. So, the area of the mosaic is:

\(Area=15.6\times 150\)

\(Area=2340\)

Therefore, the total area of the mosaic is 2340 cm ².

A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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Answer:

I dont think you gave the entire question but
bridget is saying x > 3
dana is saying x < 3

Answer: they are not

Step-by-step explanation:

y=x has a slope of 1 because the m value is 1.

x+y=-2 has a slope of -1 because when we subtract x from both sides, we get that y=-x-2 and the m value is -1

Answer:

x is 2 1/6

Step-by-step explanation:

2/9x+5=2/3

times 3/2 both sides

3x+7.5=1

minus 1 both sides

3x +6.5=0

move 6.5 to other side

3x=-6.5

divide by 3 both sides

x= 2 and 1/6